{"id":{"repo_id":"buffalo","oai_identifier":"oai:ubir.buffalo.edu:10477/80857"},"canonical_url":"https://search.dev.ndltd.org/etd/buffalo/oai:ubir.buffalo.edu:10477/80857","repository":{"repo_id":"buffalo","name":"Buffalo","base_url":"https://ubir.buffalo.edu/oai/request"},"display":{"title":"Strongly Nonlinear Processes in Many-Body Systems","abstract":"Ph.D.","abstract_html":"Ph.D.","abstract_has_math":false,"creators":["Kashyap, Rahul"],"institution":"State University of New York at Buffalo","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Sen, Surajit","Physics"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-10-29T16:47:36Z","date_published":"2019-10-29T16:47:36Z","updated_at":"2026-07-27T19:05:25Z","subjects":["physics","Computational physics","Statistical physics"],"languages":["eng"],"rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10477/80857","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Sen, Surajit","Physics"]},{"key":"dc:creator","label":"Author","values":["Kashyap, Rahul"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-10-29T16:47:36Z","2019","2019-07-22 01:14:32"]},{"key":"dc:publisher","label":"Institution","values":["State University of New York at Buffalo"]},{"key":"dc:type","label":"Dc Type","values":["Text","Dissertation"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["physics","Computational physics","Statistical physics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/10477/80857"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Ph.D.","This Ph.D. dissertation presents results from extensive computational studies of the dynamics of 1D many-body nonlinear systems with a focus on energy propagation and localization. The dissertation starts with the experimental works of Sievers and his coworkers on energy localization in nonlinear many-body systems. These studies are of enormous importance since Sievers et al showed that energy localization is possible in physically realizable nonlinear systems in a controlled experimental setup. They examined a driven micro-mechanical cantilever system which can be modeled as a many-body nonlinear lattice system with nearest neighbor interactions. In this system, each cantilever behaves like an oscillator with harmonic and nonlinear potentials arising from cantilever deflections. The cantilevers were connected with a bar which allows for coupling via harmonic and nonlinear nearest neighbor potentials. Sievers and his collaborators showed that with appropriate external driving and a suitable choice of parameters, the system's nonlinearity can be exploited to localize energy in the chain. We show that the parameter ranges considered by Sievers and his collaborators correspond to weak nonlinearity and the role of nonlinearity in this parameter regime is not clear. Next, we study the system in the strongly nonlinear regimes and explore the role of nonlinearity in the process of energy trapping. For reasons presented later, our studies suggest that it is challenging to explore the consequences of Sievers' studies for strongly nonlinear systems without exploring simpler systems first. For this reason, we perform detailed studies of the famous Fermi-Pasta-Ulam-Tsingou system, in the strongly nonlinear limit in this work. We study the dynamics of this system over three broad epochs in its time evolution."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Strongly Nonlinear Processes in Many-Body Systems"]}]}],"canonical_facts":{"dc:contributor":["Sen, Surajit","Physics"],"dc:creator":["Kashyap, Rahul"],"dc:date":["2019-10-29T16:47:36Z","2019","2019-07-22 01:14:32"],"dc:description":["Ph.D.","This Ph.D. dissertation presents results from extensive computational studies of the dynamics of 1D many-body nonlinear systems with a focus on energy propagation and localization. The dissertation starts with the experimental works of Sievers and his coworkers on energy localization in nonlinear many-body systems. These studies are of enormous importance since Sievers et al showed that energy localization is possible in physically realizable nonlinear systems in a controlled experimental setup. They examined a driven micro-mechanical cantilever system which can be modeled as a many-body nonlinear lattice system with nearest neighbor interactions. In this system, each cantilever behaves like an oscillator with harmonic and nonlinear potentials arising from cantilever deflections. The cantilevers were connected with a bar which allows for coupling via harmonic and nonlinear nearest neighbor potentials. Sievers and his collaborators showed that with appropriate external driving and a suitable choice of parameters, the system's nonlinearity can be exploited to localize energy in the chain. We show that the parameter ranges considered by Sievers and his collaborators correspond to weak nonlinearity and the role of nonlinearity in this parameter regime is not clear. Next, we study the system in the strongly nonlinear regimes and explore the role of nonlinearity in the process of energy trapping. For reasons presented later, our studies suggest that it is challenging to explore the consequences of Sievers' studies for strongly nonlinear systems without exploring simpler systems first. For this reason, we perform detailed studies of the famous Fermi-Pasta-Ulam-Tsingou system, in the strongly nonlinear limit in this work. We study the dynamics of this system over three broad epochs in its time evolution."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/10477/80857"],"dc:language":["eng"],"dc:publisher":["State University of New York at Buffalo"],"dc:rights":["Users of works found in University at Buffalo Institutional Repository (UBIR) are responsible for identifying and contacting the copyright owner for permission to reuse. University at Buffalo Libraries do not manage rights for copyright-protected works and cannot assist with permissions.","Copyright retained by author."],"dc:subject":["physics","Computational physics","Statistical physics"],"dc:title":["Strongly Nonlinear Processes in Many-Body Systems"],"dc:type":["Text","Dissertation"]},"updated_at":"2026-07-27T19:05:25Z"}